⚠️⚠️⚠️NO ONE HAS HELPED ME! PLEASE I Need HELP QUICK!⚠️⚠️⚠️ —complete the following punnett square, show the genotype produced by the previous question. assume the agouti rabbit is female. place your awnsers in their correct spots on the gird. The letters to be placed on the grid are- A a C Ca Aa AC aa. If you can’t see the picture the grid looks like tic-tac-toe.

NO ONE HAS HELPED ME! PLEASE I Need HELP QUICK! Complete The Following Punnett Square, Show The Genotype

Answers

Answer 1

Answer:

    a | c| ac

A | Aa| Ac|

C| Ca| Cc|

AC| Aa| Ac

Step-by-step explanation:

I kinda confused myself because Ido how to type it out of box but I hope this helps a little, what you’re supposed to do is write the sides [_ first and then use the first of each one to combine

NO ONE HAS HELPED ME! PLEASE I Need HELP QUICK! Complete The Following Punnett Square, Show The Genotype

Related Questions

Determine the intercepts of the line

Determine the intercepts of the line

Answers

Answer:

25, -55

Step-by-step explanation:

Intercepts are where the line crosses the x and y axis

x intercept = 25

y intercept = -55

Mitzi has 79 coins she divides the coins equally among herself and her 3 brothers Mitzi will keep any coins left over how many coins does each person get

Answers

Answer:

19

Step-by-step explanation:

79÷4=19R3

       ≈ 19

On Dec. 10, Merchandise is sold for $2,0002/10, n/30 to ABC who sends a remittance on Dec. 26 . What is the amount of remittance? a. 1,800 b. 1,400 c. 1,960 d. 2,000

Answers

The amount of the remittance from ABC is $1,960.

The given information states that merchandise is sold for $2,000 with terms of 2/10, n/30 to ABC. The terms 2/10, n/30 imply a 2% discount if payment is made within 10 days, with the full amount due within 30 days.

Since ABC sends a remittance on Dec. 26, it means the payment is made after the discount period but within the credit period. Therefore, ABC is not eligible for the discount of 2%.

To calculate the amount of the remittance, we simply subtract the discount from the total amount. In this case, the discount is $2,000 * 2% = $40. Thus, the remittance amount is $2,000 - $40 = $1,960.

In conclusion, the amount of the remittance from ABC is $1,960, as they did not qualify for the early payment discount.

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please help me,
will give 50 points

please help me, will give 50 points

Answers

The equivalent value of sin{D} is -

sin{D} = √13/10.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is a right angled triangle.

In the given right angle triangle, we can use the Pythagoras theorem as -

{FD}² = {√13}² + {√87}²

{FD}² = 13 + 87

{FD}² = 100

FD = 10

So, we can write that -

sin{D} = √13/10

Therefore, the equivalent value of sin{D} is -

sin{D} = √13/10.

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What is the slope passing through the points (6,5) and (5,3)

Answers

Answer:

\(m=2\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Step-by-step explanation:

Step 1: Define

Point (6, 5)

Point (5, 3)

Step 2: Find slope m

Substitute [SF]:                    \(m=\frac{3-5}{5-6}\)Subtract:                              \(m=\frac{-2}{-1}\)Divide:                                 \(m=2\)

Which method represents a correct way to solve the equation?

-x+(-3+x)2 = 6

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

OA.

Square -3.

Square x.

Subtract -7x from both sides.

OB. Subtract 9 from both sides.

Take the square root of both sides.

Square -3.

Square x.

Combine like terms

OC. Subtract 6 from both sides.

Use the quadratic formula to solve for x.

OD

Square the quantity (-3 + x).

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Answers

Answer:

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

Step-by-step explanation:

Given:

-x (-3 + x )2 = 6

-x (-3 + x )2 = 6

-x (-6 + 2x) = 6

-6x + 2x^2 = 6

2x^2 - 6x - 6 = 6 - 6

2x^2 - 6x - 6 = 0

Multiply -3 by 2.

Multiply x by 2.

Combine like terms.

Subtract 6 from both sides.

Use the quadratic formula to solve for x.

1
D
Question 1
Adding the complex numbers 7 - 6i and —3 + 8i is equivalent to the operation
(7 – 6) + (-3+8) i.

Answers

Yes, this identity is true. Those two operations are equivalent.

Jade and chet get a weekly allowance plus x dollars for each time the pair walks the dog. they plan to save 40% of their combined earnings in one week to purchase a new app for their smart tablet. their earnings in a certain week are represented in the table. earnings ($) jade 8+2x chet 4x+6 if their parents pay $2.50 each time they walk the dog, how much money will they have to purchase the app?

Answers

The amount of money Jade and chet will have to purchase the app is $11.6

How to solve equation?

Jade = 8 + 2xChet = 4x + 6

Where,

x = $2.50

Amount each earned:

Jade = 8 + 2x

= 8 + 2(2.50)

= 8 + 5

= $13

Chet = 4x + 6

= 4(2.50) + 6

= 10 + 6

= $16

Combined earnings = $13 + $16

= $29

Amount planned to save = 40% of combined earnings

= 40% × $29

= 0.4 × 29

= $11.6

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Can anyone pls help me I’m confused god bless u

Can anyone pls help me Im confused god bless u

Answers

Step-by-step explanation:

The slope of the prependicular line is the negative reciporal of the original line's slope.

For slope 2/5

Slope of prependicular line is -5/2

hope this helped you understand it.

Answer:

answer below

Step-by-step explanation:

If lines are perpendicular, then their slopes will be negative reciprocals.

m1 * m2 = -1.............where m1 is the gradient of original line and m2 of perpendicular line

1) -1/6  -->  6

2) 4\(\frac{3}{8}\)  -->  -8/35

3)10   -->  -1/10

4) -5\(\frac{2}{7}\)  --->  7/37

//appreciate if marked it as  brainliest//

Janet bought some markers for $3 each, and a notebook for $5. Janet did not spend more than $17. Which inequality can be used to find y, the number of markers that Janet could have bought?

Answers

Answer:

3y+5≤17

Step-by-step explanation:

Well we know she brought 1 note book and each note book is $5, its +5

Now we know she brought Y markers and each marker cost $3 so its 3Y

Now we know the price is no more than 17 which means she could’ve spent 17 or less tha, no more then 17 so less than or equal to sign ≤17

Now combine them

3y+5≤17

Thats the equation

If you want to find Y, solve it like an equation

Which of the following statements about hypothesis test is NOT true?

a) We should use a small significance level if type 1 error leads to more serious consequences than type 11 error.

b) It is generally harder to reject a two-sided hypothesis test than a one-sided hypothesis test

c) For a given sample, if we try to decrease type 1 error, then type ii error will increase.

d) The probability of rejecting the null hypothesis when the null hypothesis is false is the power of the test

Answers

The correct answer is: b) It is generally harder to reject a two-sided hypothesis test than a one-sided hypothesis test.

This statement is NOT true. In fact, it is generally easier to reject a two-sided hypothesis test compared to a one-sided hypothesis test.

In a one-sided hypothesis test, the alternative hypothesis is directional, meaning it specifies whether the population parameter is expected to be greater or smaller than the null hypothesis value. This narrows down the rejection region, making it easier to reject the null hypothesis if the data strongly supports the alternative hypothesis.

On the other hand, in a two-sided hypothesis test, the alternative hypothesis is non-directional, allowing for the possibility that the population parameter can be either greater or smaller than the null hypothesis value. This widens the rejection region, making it harder to reject the null hypothesis as the data must provide strong evidence in either direction.

Therefore, the correct statement would be that it is generally harder to reject a two-sided hypothesis test than a one-sided hypothesis test.

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An animal shelter rescues cats and dogs only. Currently the animal shelter has 121 animals. The amount of dogs is 6 more than 4 times the amount of cats. How many cats and dogs are currently in this animal shelter?

Answers

Answer:

In a certain animal shelter, the ratio of the number of dogs to the number of cats is 15 to 7. If 12 additional cats were to be taken in by the shelter, the ratio of the number of dogs to the number of cats would be 15 to 11. How many dogs are in the shelter?

A. 15

B. 25

C. 30

D. 45

E. 60

Allison sells apples at the market. On a given day, the ratio of red delicious to Macintoshes to granny smiths sold is 4:3:2. If her truck can carry 180 bushels of apples, how many bushels of granny smiths should she include? *

Answers

Answer:

40

Step-by-step explanation:

80+60+40=180

There is 20 more of each type of apple

Refer to the diagram. 115° (2x + 5)° Write an equation that can be used to find the value of x. What is the value of x

Answers

If measure of two "vertically-opposite-angles" are 115° and (2x + 5)°, then the equation to find value of "x" is 115° = (2x + 5)°,and value of "x" is 55.

The Vertically opposite angles are defined as a pair of non-adjacent angles formed by the intersection of two lines. and if the two angles are vertically opposite then their measures are equal, so, to find the value of "x", we equate the measure of both the angles,

The measure of the two angles are 115° and (2x + 5)°,

So, on equating,

We get,

⇒ 115° = (2x + 5)°,

⇒ 110° = 2x,

⇒ x = 55,

Therefore, the value of x is 55.

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The given question is incomplete, the complete question is

The measure of the two vertically opposite angles are 115° and (2x + 5)°, Write an equation that can be used to find the value of x. What is the value of x?

Sabrina’s schedule is listed below. Each of her teachers only teaches one subject. Is this an example of a function? Why or Why not?

Period

Class

1st

Band

2nd

PE

3rd

Math

4th

SS

5th

ELA

6th

Science

Answers

It is a function. There is no overlapping of classes and teachers.

Justin bought some chocolate, 3 lollipops, and some bubble gum at the candy store. Pieces of chocolate cost $0. 15 each, lollipops cost $0. 25 each and pieces of bubble gum cost $0. 50 each. If I represents the number of chocolate pieces he bought, and g represents the number of pieces of bubble gum he bought, which expression represents the amount of money Justin spent at the candy store? O A 0. 15 +0. 25(3) +0. 509 OB. 0. 151 +0. 25(3) +0. 500 O C 0. 15 0. 25(3) * 0. 509 O D. 0. 15-0. 25(3) - 0. 50g​

Answers

The expression that represents the amount of money Justin spent at the candy store is 0.15I - 0.25(3) - 0.50g. It takes into account the cost of chocolate, lollipops, and bubble gum he bought.



The expression that represents the amount of money Justin spent at the candy store is D) 0.15 - 0.25(3) - 0.50g.

To calculate the total amount spent, we need to consider the cost of each item Justin bought. The cost of the chocolate pieces is $0.15 each, so the cost of 'I' chocolate pieces would be 0.15 * I.

The lollipops cost $0.25 each, and Justin bought 3 lollipops. Therefore, the cost of the lollipops would be 0.25 * 3.

Lastly, the bubble gum pieces cost $0.50 each, and Justin bought 'g' pieces. So, the cost of the bubble gum would be 0.50 * g.

To calculate the total amount spent, we subtract the costs of the lollipops and bubble gum from the cost of the chocolate pieces. Therefore, the expression becomes 0.15I - 0.25(3) - 0.50g, which is option D.

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Help Idk what I did wrong show your work please

Help Idk what I did wrong show your work please

Answers

Answer: x = 10

Step-by-step explanation:

first Add 20 to both sides.

4x = x + 10 + 20

Then Simplify x + 10 + 20 to x + 30

4x = x + 30

Then u subtract x from both sides

4x - x = 30

Simplify 4x - x to 3x

3x = 30

Then u divide both sides by three

x = 30/3

Then u last simplify 30/3 to 10

x = 10

Answer:

x = 10

Step-by-step explanation:

first Add 20 to both sides.

4x = x + 10 + 20

Then Simplify x + 10 + 20 to x + 30

4x = x + 30

Then you subtract x from both sides

4x - x = 30

Simplify 4x - x to 3x

3x = 30

Then you divide both sides by three

x = 30/3

Then you last simplify 30/3 to 10

x = 10

just need help on #7 thru 8(a), b and c

just need help on #7 thru 8(a), b and c

Answers

7

a. The slope of the line passing through the points R(3, 5) and H(-1,2) is -3/4

b. The distance between two points (x₁, y₁) and (x₂,y₂) is 5 units

c.  The midpoint of the R(3, 5) and H(-1,2) is  (2, 4)

8.

a. The transformation rule is  (x,y) → (x + 1, y - 1)

b.

The x-coordinate is shifted 1 unit to the left and The y - coordinate is shifted 1 unit downwards.

c. The image of B' the pre-image of B(5, 6) is (6, 5)

7 a. How to find the slope of the line?

The slope of a line passing through the points (x₁, y₁) and (x₂,y₂) is m = (y₂ - y₁)/(x₂ - x₁)

Given that

(x₁, y₁) = (3, 5) and (x₂,y₂) = (-1, 2)

So, m = (y₂ - y₁)/(x₂ - x₁)

m = (2 - 5)/(-1 - 3)

m = -3/-4

m = -3/4

So, the slope of the line passing through the points R(3, 5) and H(-1,2) is -3/4

b. The distance between the points

The distance between two points (x₁, y₁) and (x₂,y₂) is d = √[(y₂ - y₁)² + (x₂ - x₁)²]

Given that

(x₁, y₁) = (3, 5) and (x₂,y₂) = (-1, 2)

d = √[(y₂ - y₁)² + (x₂ - x₁)²]

d = √[(2 - 5)² + (-1 - 3)²]

d = √[(-3)² + (-4)²]

d = √[9 + 16]

d = √25

d = 5 units

So, the distance between two points (x₁, y₁) and (x₂,y₂) is 5 units

7 c How to find the midpoint of the R(3, 5) and H(-1,2)

The midpoint of the the points (x₁, y₁) and (x₂,y₂) is (x, y)  = [(x₁ + x₂)/2, (y₁ + y₂)/2]

Given that

(x₁, y₁) = (3, 5) and (x₂,y₂) = (-1, 2)

So, the midpoint (x, y)  = [(x₁ + x₂)/2, (y₁ + y₂)/2]

(x, y)  = [(3 + (-1))/2, (5 + 3)/2]

(x, y)  = [(3 - 1)/2, (5 + 3)/2]

(x, y)  = [4/2, 8/2]

(x, y)  = (2, 4)

So, the midpoint of the R(3, 5) and H(-1,2) is  (2, 4)

8. a The rule for the transformation of point A(1, 4) to point B(2, 3)

Given that point A(1, 4) and point B(2, 3) we see that point B(1 + 1, 4 - 1).

Let pont A be (x,y).

So, point B = (x + 1, y - 1)

So, the transformation rule is  (x,y) → (x + 1, y - 1)

b. Describe the transformation

Since the transformation rule is   (x,y) → (x + 1, y - 1), we see that

the x-coordinate is shifted 1 unit to the left and the y - coordinate is shifted 1 unit downwards.c. The image of B' the pre-image of B(5, 6)

Since the transformation rule is  (x,y) → (x + 1, y - 1) and point B is (5, 6), thus the image of B' is

(x,y) → (x + 1, y - 1)

(5,6) → (5 + 1, 6 - 1)

(5,6) → (6, 5)

So, the image of B' the pre-image of B(5, 6) is (6, 5)

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What is an equation of the line that passes through the points (-6, -3) and
(-8,-4)

Answers

Answer:

Equation is Y=x/2

Step-by-step explanation:

Find the gradient of the line : graduent= -4-(-3)÷ -8-(-6) which = to 1\2Sustitutes any of the values of y and x coordinates and your gradient in order to find the value of c: Y =mx + c : (-4)=1/2(-8) + c then C =OY=x/2

name a point that is sqrt(2)away from (-1 5)

Answers

The point which is √2 distance away from the point (-1, 5) is (-1, 5 - √2).

In order to find a point that is √2 away from (-1, 5), we need to find a point that is at a distance of √2 from (-1, 5). Let the point we need to find be (x, y),

Using the distance formula, we can set up the following equation:

√[(x - (-1))² + (y - 5)²] = √2,

Simplifying this equation,

We get,

(x + 1)² + (y - 5)² = 2,

This equation represents a circle with center (-1, 5) and radius √2.

So, one point that satisfies this equation is (-1, 5 - √2), which is √2 away from (-1, 5).

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which scatterplot has a correlation coefficient close to 0 but also has a strong relationship between the variables?

Answers

A scatterplot with a strong nonlinear relationship can have a correlation coefficient close to 0, but still have a strong relationship between the variables.

For example, consider a scatterplot where the points follow a curved pattern, such as a parabola or a sine wave. In such a case, the correlation coefficient may be close to 0, indicating no linear relationship between the variables, but there is still a strong nonlinear relationship between them.

In general, it is important to consider the shape and pattern of the scatterplot, in addition to the correlation coefficient, when assessing the relationship between two variables. A scatterplot with a weak correlation coefficient and a random scatter of points may indicate no relationship, while a scatterplot with a strong nonlinear pattern may indicate a strong relationship, even if the correlation coefficient is close to 0.

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What is the slope of each line?
1
Line A: y=x-4
Line B: y=2x-3
1
O The slope of line A= 2.
The slope of line B= 2
sh
O The slope of line A=-4.
The slope of line B=-3.
O The slope of line A-2.
The slope of line B=-2.
O The slope of line A=-3.
The slope of line B=-4.

Answers

Answer:

slope of line a is 1/1. Slope of line B is 2/1

Step-by-step explanation:




A new solid waste treatment plant is to be constructed in Washington County. The initial installation will cost \( \$ 35 \) million (M). After 10 years, minor repair and renovation \( (R \& R) \) will

Answers

The capitalized cost for the solid waste treatment plant, based on a 6% MARR, is approximately $579 million.

To calculate the capitalized cost for the solid waste treatment plant, we need to determine the present value of all the costs over the project's lifespan.

The costs involved in the project are as follows:

Initial installation cost: $35 million.

Minor repair and renovation (R&R) after 10 years: $14 million.

Major R&R after 20 years: $18 million.

Operating and maintenance (O&M) costs each year, increasing at a compound rate of 6% per year.

First, let's calculate the present value of the O&M costs over the 20-year period: Using the TVM Factor Table calculator, the present value factor for a 6% MARR and 20 years is 10.206.

The total O&M costs over 20 years can be calculated as follows: O&M costs for the first year: $3 million. O&M costs for the subsequent years: $3 million * (1 + 0.06) + $3 million * (1 + 0.06)^2 + ... + $3 million * (1 + 0.06)^19.

Using the formula for the sum of a geometric series, the O&M costs over the 20-year period can be calculated as: O&M costs = $3 million * (1 - (1 + 0.06)^20) / (1 - (1 + 0.06)) = $3 million * (1 - 1.418519) / (-0.06) = $3 million * (-0.418519) / (-0.06) = $2.91038 million.

Now, let's calculate the present value of the costs: Present value of the initial installation cost: $35 million.

Present value of the minor R&R cost after 10 years: $14 million * 10.206 (present value factor for 6% MARR and 10 years) = $142.884 million. Present value of the major R&R cost after 20 years: $18 million * 10.206^2 (present value factor for 6% MARR and 20 years) = $371.001 million.

Present value of the O&M costs: $2.91038 million * 10.206 = $29.721 million. Finally, the capitalized cost of the solid waste treatment plant is the sum of all the present values: Capitalized cost = $35 million + $142.884 million + $371.001 million + $29.721 million = $578.606 million.

Rounding the final answer to the nearest whole number, the capitalized cost for the solid waste treatment plant is $579 million.

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The complete question is:

A new solid waste treatment plant is to be constructed in Washington County. The initial installation will cost $35 million (M). After 10 years, minor repair and renovation (R&R) will occur at a cost of $14M will be required; after 20 years, a major R&R costing $18M will be required. The investment pattern will repeat every 20 years. Each year during the 20 -year period, operating and maintenance (O\&M) costs will occur. The first year, O\&M costs will total $3M. Thereafter, O\&M costs will increase at a compound rate of 6% per year. Based on a 6% MARR, what is the capitalized cost for the solid waste treatment plant? Click here to access the TVM Factor Table calculator. $ Carry all interim calculations to 5 decimal places and then round your final answer to a whole number. The tolerance is ±25,000.

jada has a meal in a restaurant she adds up the prices listed on the menu for everything they ordered and gets a subtotal of $42.00. When the check comes, it says they also need to pay $3.99 in sales tax. what percentage of the subtotal is the sales tax. After tax, the total is 45.99. What percentage of the subtotal is the total?

Answers

Answer:

To find out the percentage, you do (3.99/42) * 100.

Step-by-step explanation:

hello i just want the correct final answer for the 3 questions without the steps:
Q1. What valid conclusion can we have in each of the following expressions: We are given these premises: ∀x(P (x) ∨ Q(x)), ∀x(¬Q(x) ∨ S(x)), ∀x(R(x) → ¬S(x)), and ∃x¬P (x). What conclusion can we have? · ∃xQ(x) · ∃xR(x) · ∃x¬Q(x) · ∃x¬S(x)
Q2. Fill in the blank (no space between the digits) the octal expansion of the number that succeeds (4277)8
( _____________________________________ )8
Q3. Fill in the blank (no space between the digits) the hexadecimal expansion of the number that precedes (E20)16
( _____________________________________ )16

Answers

The valid conclusion that we can have from the given premises are:∃xQ(x) and ∃x¬P(x) → ∃xQ(x).∃xQ(x) can be proved by taking ∃x¬P(x) from the premises and then by applying resolution steps with the premise

∀x(P(x) ∨ Q(x)) we get ∃xQ(x).

Q2. (4300)8 is the octal expansion of the number that succeeds (4277)8. Here's how we can find the solution: In octal, the digits are 0, 1, 2, 3, 4, 5, 6, and 7. To find the next number after (4277)8, we just add 1 to the last digit. So, the next number would be (4278)8.

However, since the last digit is 7, we have to "carry over" to the next digit. We add 1 to the 8's place, but that carries over to the next digit, and so on. So, the next number after (4277)8 is (4300)8. Q3. (E1F)16 is the hexadecimal expansion of the number that precedes (E20)16.

Here's how we can find the solution:In hexadecimal, the digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F. To find the number that precedes (E20)16, we just subtract 1 from the last digit. Since the last digit is 0, we have to "borrow" from the digit to its left. That digit is E, which is one less than F.

So, we borrow from that digit and add 1 to the last digit. Thus, the number that precedes (E20)16 is (E1F)16.

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the distance from the ground of a person riding on a ferris wheel can be modeled by the equation d equals 20 times the sine of the quantity pi over 30 times t end quantity plus 10 comma where d represents the distance, in feet, of the person above the ground after t seconds. how long will it take for the ferris wheel to make one revolution? 10 seconds 20 seconds 30 seconds 60 seconds

Answers

It takes approximately 26.56 seconds for the ferris wheel to make one revolution.

so, the correct option is: e) 26.56 seconds

Here, we have,

The ferris wheel makes one complete revolution when the distance of the person above the ground returns to the original value after completing a full circle.

This occurs when the sine function returns to its maximum value, which is 1.

Thus, we have the following equation:

20 * sin(π/30 * t) + 10 = 20

Solving for t,

we will get:

sin(π/30 * t) = 0.5

Taking the inverse sine of both sides:

(π/30 * t) = sin^-1(0.5)

Multiplying both sides by 30/π,

we will get the following:

t = (30/π) * sin^-1(0.5)

Now solving the value of t

We will get it as: t ≈ 26.56 seconds.

so, the correct option is: e) 26.56 seconds

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complete question:

the distance from the ground of a person riding on a ferris wheel can be modeled by the equation d equals 20 times the sine of the quantity pi over 30 times t end quantity plus 10 comma where d represents the distance, in feet, of the person above the ground after t seconds. how long will it take for the ferris wheel to make one revolution?

a) 10 seconds

b) 20 seconds

c) 30 seconds

d) 60 seconds

e) 26.56 seconds

PLEASE HELPPP ASAP. I WILL GIVE BRAINLIEST!!!​

PLEASE HELPPP ASAP. I WILL GIVE BRAINLIEST!!!

Answers

Answer:

Factors: 5x, 3x²y⁵   Not Factor: 10x⁴y³

Step-by-step explanation:

5x is a factor because 15x²y⁶= 5x•3xy⁶

3x²y⁵ is a factor because 15x²y⁶ = 3x²y⁵•5y

10x⁴y³ isn't a factor because 15:10=1.5 isn't integer

The owner of a shop wants to mix cashews and pecans to make 8 kg of mixed nuts worth $7. 25 per kg. If the price of cashews is $8. 00 per kg, and the price of pecans is $7. 00 per kg, how many kilograms of each should he use?

Answers

The owner should use 2 kg of cashews and 6 kg of pecans to make 8 kg of mixed nuts worth $7.25 per kg.

Let's assume the owner uses x kg of cashews and (8-x) kg of pecans.

The cost of x kg of cashews at $8.00 per kg is 8x dollars.

The cost of (8-x) kg of pecans at $7.00 per kg is 7(8-x) dollars.

The total cost of the mixed nuts is 8x + 7(8-x) = 8x + 56 - 7x = x + 56 dollars.

Since the mixed nuts are worth $7.25 per kg, the total value of the mixed nuts is 8(7.25) = 58 dollars.

Therefore, we have the equation:

x + 56 = 58

Solving for x, we get:

x = 2

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rebecca’s electric bill is a variable expense. what is the average amount she pays for electricity if she paid $135 in december, $129 in january, $99 in february, $120 in march and $140 in april?

Answers

The average amount Rebecca pays for electricity based on the given data is $124.60.

To calculate the average, we add up the amounts she paid in each month and then divide by the total number of months. In this case, the sum of her payments is $135 + $129 + $99 + $120 + $140 = $623. Dividing this sum by the total number of months (5), we get an average of $623 / 5 = $124.60. Calculating the average helps us determine the typical amount Rebecca pays for electricity based on the given data. It provides an overall picture of her average expenses in the specified period.

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17% of what number is 3.4

Answers

Answer:

20

Step-by-step explanation:

We already have our first value 3.4 and the second value 17. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

Step 1 ---> 3.4 = 17% × Y

Step 2 ---> 3.4 = 17/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 17 we will arrive at:

Step 3 ---> Y = 3.4 × 100/17

Step 4 ---> Y = 3.4 × 100 ÷ 17

Step 5 ---> Y = 20

Finally, we have found the value of Y which is 20 and that is our answer.

*You can easily calculate 3.4 is 17 percent of what number by using any regular calculator, simply enter 3.4 × 100 ÷ 17 and you will get your answer which is 20*
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